We examine the angle-impact Wigner function (AIW) as a computational tool for the propagation of nonparaxial quasi-monochromatic light of any degree of coherence past a planar boundary between two homogeneous media. The AIWs of the reflected and transmitted fields in two dimensions are shown to be given by a simple ray-optical transformation of the incident AIW plus a series of corrections in the form of differential operators. The radiometric and leading six correction terms are studied for Gaussian Schell-model fields of varying transverse width, transverse coherence, and angle of incidence.
© 2007 Optical Society of America
Coherence and Statistical Optics
Original Manuscript: March 9, 2007
Revised Manuscript: April 17, 2007
Manuscript Accepted: April 19, 2007
Published: July 23, 2007
Jonathan C. Petruccelli and Miguel A. Alonso, "Propagation of partially coherent fields through planar dielectric boundaries using angle-impact Wigner functions I. Two dimensions," J. Opt. Soc. Am. A 24, 2590-2603 (2007)